volume of cylinder in ft the half circle at the top is 5 and its height is 9

5 answers

To find the volume of the cylinder, we first need to calculate the area of the base, which is a half circle with a radius of 5 ft.

The formula for the area of a circle is A = πr^2. Since this is a half circle, we need to divide the result by 2.

A = 1/2 * π * 5^2
A = 1/2 * π * 25
A = 12.5π ft^2

Next, we can find the volume of the cylinder by multiplying the area of the base by the height.

V = A * h
V = 12.5π * 9
V = 112.5π ft^3

Therefore, the volume of the cylinder is 112.5π cubic feet.
in pi
Sure!

The volume of the cylinder is 112.5π cubic feet.

So, the volume of the cylinder is 112.5π ft^3.
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I apologize for the mistake in my calculation earlier. Let's correct it:

The radius of the half circle at the top of the cylinder is 5 ft, so the full circle area can be calculated as πr^2 = π(5^2) = 25π.

Since this is a half circle, the area of the base is half of this, which is 12.5π ft^2.

Multiplying this by the height of 9 ft, we get:

V = 12.5π * 9
V = 112.5π ft^3

Therefore, the volume of the cylinder is 112.5π cubic feet. Thank you for providing the correct options.